Function f(x) is defined as follows: If x is positive or ...

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PS · Problem Solving

705-805

Functions

Function

f(x)

is defined as follows: If

x

is positive or 0, then

f(x) = 1 - x

; If

x

is negative, then

f(x) = x - 1

. Which of the following statements must be true? I.

f(|x|) = |f(x)|

II.

f(x) = f(-x)

III.

|f(x + 1)| = |x|

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